On Approximation Characteristics of Some Classes of Functions of Small Smoothness
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DOI: 10.1134/s0037446618030114
Abstract: We find the exact order of the entropy numbers and the Kolmogorov widths of a class of functions defined by a condition on the uniform norm of blocks of the Fourier series taken over a… read more here.
Keywords: characteristics classes; functions small; small smoothness; classes functions ... See more keywords
Approximation Characteristics of Weighted Sobolev Spaces on Sphere in Different Settings
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DOI: 10.3390/axioms14010042
Abstract: This article primarily examines the approximation properties of a weighted Sobolev space W2,κr defined on a sphere Sd−1 equipped with Gaussian measures. Specifically, this study focuses on both the average case and probabilistic case settings.… read more here.
Keywords: spaces sphere; approximation characteristics; weighted sobolev; sobolev spaces ... See more keywords